Highest Common Factor of 931, 713, 408, 373 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 931, 713, 408, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 931, 713, 408, 373 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 931, 713, 408, 373 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 931, 713, 408, 373 is 1.

HCF(931, 713, 408, 373) = 1

HCF of 931, 713, 408, 373 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 931, 713, 408, 373 is 1.

Highest Common Factor of 931,713,408,373 using Euclid's algorithm

Highest Common Factor of 931,713,408,373 is 1

Step 1: Since 931 > 713, we apply the division lemma to 931 and 713, to get

931 = 713 x 1 + 218

Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 218 and 713, to get

713 = 218 x 3 + 59

Step 3: We consider the new divisor 218 and the new remainder 59, and apply the division lemma to get

218 = 59 x 3 + 41

We consider the new divisor 59 and the new remainder 41,and apply the division lemma to get

59 = 41 x 1 + 18

We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get

41 = 18 x 2 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 931 and 713 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(59,41) = HCF(218,59) = HCF(713,218) = HCF(931,713) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 408 > 1, we apply the division lemma to 408 and 1, to get

408 = 1 x 408 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 408 is 1

Notice that 1 = HCF(408,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 373 > 1, we apply the division lemma to 373 and 1, to get

373 = 1 x 373 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 373 is 1

Notice that 1 = HCF(373,1) .

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Frequently Asked Questions on HCF of 931, 713, 408, 373 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 931, 713, 408, 373?

Answer: HCF of 931, 713, 408, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 931, 713, 408, 373 using Euclid's Algorithm?

Answer: For arbitrary numbers 931, 713, 408, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.